Hans-Olav Tylli

Results for the final exam on 10.1.2018 have been linked to the page Results/Tulokset (please login to read this page).

Hans-Olav Tylli

Julkaistu, 17.1.2018 klo 14:57

I have linked model solutions for the 1. partial exam from 27.10.2017 to the "Tehtävät"-part (I seem to have forgotten to do this earlier).

Hans-Olav Tylli

Julkaistu, 9.1.2018 klo 15:54

The results from the course have now been linked to the page Results/Tulokset. Please note that you will have to log in to view the page.

Hans-Olav Tylli

Julkaistu, 9.1.2018 klo 11:53

Model solutions to the 2. partial exam from 18.12.2017 have been added to the "Tehtävät"-part. Results from the course will be linked in a moment.

Hans-Olav Tylli

Julkaistu, 15.12.2017 klo 16:59

Model solutions to the 2. partial exams from 2010 and 2008 have been linked to the course page (two different pdf-files).

Hans-Olav Tylli

Julkaistu, 14.12.2017 klo 21:13

REMINDER: the 2. partial exam of Functional Analysis is on Monday 18.12. from 12-15 o'clock in room D123. Topics of the exam: chapters 5-9, but excluding the part "Sobolev spaces" (pp. 101-114 in the Finnish course notes).
Older partial exams (2010 and 2008), as well as a couple of final exams, have been linked to the course pages. Related model answers will be linked on Friday 15.12 (as well as for Exercises 13).
The next final exam (for the whole course) is on Wed 10.1.2018. Note that you need to register in WebOodi for final exams (at latest 10 days before the date)!

Hans-Olav Tylli

Julkaistu, 11.12.2017 klo 20:12

A misprint has been corrected in the definition in Exercise 13:2, where the duality c_0^* = \ell^1 refers to the identification from Exercise 12:3.

Hans-Olav Tylli

Julkaistu, 8.12.2017 klo 19:24

Exercises 13 for Wed 13.12 have been added. This is the last exercise.

Hans-Olav Tylli

Julkaistu, 2.12.2017 klo 20:30

Solutions to Exercises 11 have been added (including an second proof of problem 11:5 that does not use the Baire theorem).

Hans-Olav Tylli

Julkaistu, 1.12.2017 klo 15:26

Exercises 12 for Thursday 7.12 (14-16 o'clock, room C123) have been added. Note the change of day (because of Independence day 6.12 on Wednesday).

The course will follow the course notes "Funktonaalianalyysin peruskurssi" (latest version 2012) by Kari Astala, Petteri Piiroinen & Hans-Olav Tylli. A current version for the Autumn 2017 will also be uploaded during the course (including notes indicating topics not covered this year during the lectures).

The following books contain related material (as well as much more), that can be used to compare with the course notes: